Multiple Choice Identify the
choice that best completes the statement or answers the question.
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1.
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An escalator in a department store is to carry people a vertical distance of 22
feet between floors. How long is the escalator if it makes an angle of 30 with the
ground?
a. | 42 feet | b. | 39 feet | c. | 46
feet | d. | 44 feet | e. | 37 feet |
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2.
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The object shown in the figure is a cube (all edges are equal in
length). If the length of each edge of the cube
shown in the figure is 5 inches, find the length of diagonal CB.
a. | inches | b. |
inches | c. | inches | d. |
inches | e. | inches |
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3.
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The object shown in the figure is a cube (all edges are equal in length).
Suppose the length of diagonal in the figure is feet. What is the length of edge ?
a. | inches | b. |
inches | c. | inches | d. |
inches | e. | inches |
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4.
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Find the remaining sides of a triangle if the longest side
is .
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5.
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Find the remaining sides of a triangle if the side opposite
is .
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6.
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7.
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8.
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A searchlight rotates through one complete revolution every 2 seconds. How long
does it take the light to rotate through 180 ?
a. | 4 sec. | b. | 5 sec. | c. | 7
sec. | d. | 2 sec. | e. | 1 sec. |
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9.
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Find if
and . Remember: The sum of the three angles in any triangle is always 180 .
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10.
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Indicate if the angle is acute or obtuse. Then give
the complement and the supplement of the angle.
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Numeric Response
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11.
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An escalator in a department store is to carry people a vertical distance
of 15 feet between floors. How long is the escalator if it makes an angle of 30
with the ground? __________ feet.
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12.
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The object shown in the figure is a cube (all edges are equal in length).
Suppose the length of the diagonal in the figure is feet. What is the length of edge ?
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13.
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Suppose is a right triangle with .
If and , find .
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14.
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Suppose is a right triangle with .
If and , find .
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15.
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16.
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Solve for
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17.
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Find if A = . Remember: The sum of the three angles in any triangle is always
180° __________°
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18.
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The figure shows a walkway with a handrail. Angle is the angle
between the walkway and the horizontal, while angle is the angle between the
vertical posts of the handrail and the walkway. Assume that the vertical posts are perpendicular to
the horizontal. Find if . __________°
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19.
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An isosceles triangle is a triangle in which two sides are equal in length. The
angle between the two equal sides is called the vertex angle, while the other two angles are called
the base angles. If the vertex angle is 60 , what is the measure of the base
angles? __________
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20.
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Find if and . Remember: The sum of the three
angles in any triangle is always 180 . __________
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Short Answer
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21.
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Indicate if the angle is acute or obtuse.
__________ Give the complement angle. __________ Give the supplement
angle. __________
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22.
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Find if , , and . Simplify
the answer. Do not convert to decimal form.
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23.
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Give the complement angle of angle . __________ Give the
supplement angle of angle . __________
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24.
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Find the remaining sides of a triangle if the side opposite
is .
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25.
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Find the remaining side of a triangle if the shorter sides
are each .
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